Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications (with A. Mondino). Submitted, arXiv:2004.08934.
Quantitative Obata’s Theorem (with A. Mondino and D. Semola). Submitted, arXiv:1910.06637.
The Globalization Theorem for the Curvature Dimension Condition (with E. Milman). Inventiones Math., arXiv:1612.07623.
Independence of synthetic Curvature Dimension conditions on transport distance exponent (with A. Akdemir, A. Colinet, R. J. McCann and F. Santarcangelo). Trans. Amer. Math. Soc., arXiv:2007.10980.
Displacement convexity of Entropy and the distance cost Optimal Transportation (with N. Gigli and F. Santarcangelo). Annales de la faculté des sciences de Toulouse, arXiv:2005.00243.
New formulas for the Laplacian of distance functions and applications (with A. Mondino). Analysis & PDE, arXiv:1803.09687.
Isoperimetric inequality under Measure-Contraction property (with F. Santarcangelo). J. Funct. Anal., 277 (2019), 2893-2917.
Quantitative isoperimetry à la Levy-Gromov (with F. Maggi and A. Mondino). Comm. Pure Appl. Math., LXXII (2019), 1631–1677.
A variational time discretization for the compressible Euler equations (with M. Sedjro and M. Westdickenberg). Trans. Amer. Math. Soc., 371 (2019), 5083-5155.
Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds (with A. Mondino). Int. Math. Res. Not., 2020 (2020), 1481–1510.
Rigidity for critical points in the Levy-Gromov inequality (with F. Maggi and A. Mondino). Math. Z., (2018) 289: 1191.
An overview of L1 optimal transportation on metric measure spaces. Measure Theory in Non-Smooth Spaces, book chapter, edited by N. Gigli, De Gruyter Open.
Optimal maps in essentially non-branching spaces (with A. Mondino). Commun. Contemp. Math., 06 (2017) 19.
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds (with A. Mondino). Rendiconti Lincei Matematica e Applicazioni, Volume 29, 3 (2018) 413–430.
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds (with A. Mondino). Geom. Topol., 21 (2017) 603–645.
Tangent lines and Lipschitz differentiability spaces (with T. Rajala). Anal. Geom. Metr. Spaces, 4 (2016) 85–103.
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds (with A. Mondino). Inventiones Math., 208 (2017) 803–849.
Measure rigidity of Ricci curvature lower bounds (with A. Mondino). Advances Math., 286 (2016) 430–480.
A simple proof of global existence for the 1D Pressureless Gas Dynamics Equations (with M. Sedjro and M. Westdickenberg). SIAM J. Math. Anal., 47 (2015), no. 1, 66–79.
The polar cone of the set of monotone maps (with M. Westdickenberg). Proc. Amer. Math. Soc., 143 - 2 (2015), 781–787.
Decomposition of geodesics in the Wasserstein space and the globalization problem. Geom. Funct. Anal., Vol. 24 (2014) 493–551.
Monge problem in metric spaces with Riemannian curvature-dimension condition. Nonlinear Analysis, 99 (2014), 136–151.
A note on a residual subset of Lipschitz functions on metric spaces. Proceedings of Edinburgh Math. Society., Volume 58, Issue 3, 631–636.
Self-Intersection of Optimal geodesics (with M. Huesmann). Bull. London Math. Soc., 46 (2014) 653–656.
Existence and uniqueness of optimal transport maps (with M. Huesmann). Ann. I. H. Poincare ́ AN, 32 (2015) 1367–1377.
Local Curvature-Dimension condition implies Measure-Contraction property (with K.-T. Sturm). J. Funct. Anal., 262 (2012), 5110–5127.
Optimal transportation with branching distance costs and the obstacle problem. SIAM J. Math. Anal., Vol. 44 (2012), No. 1, 454–482.
The Monge problem for distance cost in geodesic spaces (with S. Bianchini). Commun. Math. Phys., 318 (2013), 615–673.
The Monge problem in the Wiener space. Calc. Var and PDE, Vol. 45 (1-2) (2012), 101–124.
The Monge problem in geodesic spaces (with S. Bianchini). The IMA Volumes in Mathematics and its Applications, Vol. 153, 217–234.